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Stochastic Completeness of Jump Processes on Metric Measure Spaces

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Geometry and Analysis of Fractals

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 88))

Abstract

We give criteria for stochastic completeness of jump processes on metric measure spaces and on graphs in terms of volume growth.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Bielefeld, Bielefeld, Germany

    Alexander Grigor’yan

  2. Department of Mathematics and Computer Science, Friedrich Schiller University of Jena, Jena, Germany

    Xueping Huang

Authors
  1. Alexander Grigor’yan
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  2. Xueping Huang
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Corresponding author

Correspondence to Alexander Grigor’yan .

Editor information

Editors and Affiliations

  1. Department of Mathematics, The Chinese University of Hong Kong, Hongkong, Hong Kong SAR

    De-Jun Feng

  2. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, Hong Kong SAR

    Ka-Sing Lau

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Grigor’yan, A., Huang, X. (2014). Stochastic Completeness of Jump Processes on Metric Measure Spaces. In: Feng, DJ., Lau, KS. (eds) Geometry and Analysis of Fractals. Springer Proceedings in Mathematics & Statistics, vol 88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43920-3_7

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